Blowup algebras of rational normal scrolls

Autor:	Alessio Sammartano
Rok vydání:	2019
Předmět:	Pure mathematics Determinantal ideal General Mathematics Rees ring Commutative Algebra (math.AC) Koszul algebra 01 natural sciences Rational normal scroll Catalan number Mathematics - Algebraic Geometry Gröbner basis Simplicial complex Mathematics::Algebraic Geometry Fiber ring FOS: Mathematics Mathematics - Combinatorics 0101 mathematics Algebraic Geometry (math.AG) Mathematics Ring (mathematics) Non-crossing sets Mathematics::Commutative Algebra Applied Mathematics Variety of minimal degree 010102 general mathematics Primary: 13A30 13C40 Secondary: 05E45 13D02 13P10 14M12 14J40 Mathematics - Commutative Algebra Combinatorics (math.CO) Catalan numbers Special fiber
Zdroj:	Transactions of the American Mathematical Society. 373:797-818
ISSN:	1088-6850 0002-9947
DOI:	10.1090/tran/7689
Popis:	We determine the equations of the blowup of $\mathbb{P}^n$ along a $d$-fold rational normal scroll $S$, and we prove that the Rees ring and special fiber ring of $S \subseteq \mathbb{P}^n$ are Koszul algebras. To appear on Transactions of the American Mathematical Society
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c2968923cc4c7b80b3d941183b3c275 https://doi.org/10.1090/tran/7689 Zobrazit plný text záznamu